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Finding the Fourth Proportional to 586,109,823.49, 878,978,078.79 and 192,545,295.34

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Solution

The fourth proportional to 586,109,823.49, 878,978,078.79 and 192,545,295.34 is: 288,756,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,109,823.49 : 878,978,078.79 = 192,545,295.34 : x
  2. Step 2: Convert to fraction form
    586,109,823.49/878,978,078.79 = 192,545,295.34/x
  3. Step 3: Cross multiply
    586,109,823.49x = 878,978,078.79 × 192,545,295.34
  4. Step 4: Simplify right side
    586,109,823.49x = 169,243,093,778,006,336
  5. Step 5: Solve for x
    x = 169,243,093,778,006,336/586,109,823.49
  6. Step 6: Final answer
    x = 288,756,623.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.